Author:
Shanthikumar J. G.,Sumita Ushio
Abstract
In this paper we study some distribution properties of the system failure time in general shock models associated with correlated renewal sequences (X
n, Y
n) . Two models, depending on whether the magnitude of the nth shock X
n is correlated to the length Y
n of the interval since the last shock, or to the length of the subsequent interval to the next shock, are considered. Sufficient conditions under which the system failure time is completely monotone, new better than used, new better than used in expectation, and harmonic new better than used in expectation are given for these two models.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Cited by
6 articles.
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